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Previous year question hub

Numerical Analysis - Mathematics Previous Year Questions

Practice Numerical Analysis - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

19Papers
19Years
75Questions
1Topics

Numerical Analysis question pattern

Every graph below is calculated only from this selection.

Questions by year

Compare question counts across years.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 43 57.3%
Easy 31 41.3%
Hard 1 1.3%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

MCQ 39 52%
Numerical Answer Type (NAT) 30 40%
MSQ 6 8%

Subject weightage

Top subjects by unique question coverage.

Mathematics
75 Qs

Most asked topics

Top topics across the included previous year papers.

Numerical Analysis
75 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Numerical differentiation and error, Numerical integration
20 Qs
Interpolation
19 Qs
Numerical Solutions of Nonlinear Equations
16 Qs
Numerical solution of initial value problems for ordinary differential equations
12 Qs
Systems of linear equations
8 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

Mathematics (MA) 2026
2 Qs
Mathematics (MA) 2025
4 Qs
Mathematics (MA) 2024
6 Qs
Mathematics (MA) 2023
5 Qs
Mathematics (MA) 2022
4 Qs
Mathematics (MA) 2021
5 Qs
Mathematics (MA) 2020
2 Qs
Mathematics (MA) 2019
3 Qs
Mathematics (MA) 2018
3 Qs
Mathematics (MA) 2017
4 Qs
Mathematics (MA) 2016
3 Qs
Mathematics (MA) 2015
2 Qs
Mathematics (MA) 2014
6 Qs
Mathematics (MA) 2012
6 Qs
Mathematics (MA) 2011
4 Qs
Mathematics (MA) 2010
2 Qs
Mathematics (MA) 2009
4 Qs
Mathematics (MA) 2008
5 Qs
Mathematics (MA) 2007
5 Qs

Browse by subtopics

Open a focused page built from the same verified paper data.

Numerical differentiation and error, Numerical integration

Explore previous-paper coverage, trends and focused practice for Numerical differentiation and error, Numerical integration.

20 questions17 papers17 years

Interpolation

Explore previous-paper coverage, trends and focused practice for Interpolation.

19 questions14 papers14 years

Numerical Solutions of Nonlinear Equations

Explore previous-paper coverage, trends and focused practice for Numerical Solutions of Nonlinear Equations.

16 questions12 papers12 years

Numerical solution of initial value problems for ordinary differential equations

Explore previous-paper coverage, trends and focused practice for Numerical solution of initial value problems for ordinary differential equations.

12 questions10 papers10 years

Systems of linear equations

Explore previous-paper coverage, trends and focused practice for Systems of linear equations.

8 questions8 papers8 years

Included previous year papers

Newest papers appear first. Search these papers or sort by year and name.

Paper nameYearPDFAttempt
Mathematics (MA) 20262026
2 questions in this view		2026
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Mathematics (MA) 20252025
4 questions in this view		2025
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mathematics (MA) 20242024
6 questions in this view		2024
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mathematics (MA) 20232023
5 questions in this view		2023
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mathematics (MA) 20222022
4 questions in this view		2022
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mathematics (MA) 20212021
5 questions in this view		2021
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mathematics (MA) 20202020
2 questions in this view		2020
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Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20192019
3 questions in this view		2019
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Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20182018
3 questions in this view		2018
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20172017
4 questions in this view		2017
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20162016
3 questions in this view		2016
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Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20152015
2 questions in this view		2015
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Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20142014
6 questions in this view		2014
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20122012
6 questions in this view		2012
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20112011
4 questions in this view		2011
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20102010
2 questions in this view		2010
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20092009
4 questions in this view		2009
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20082008
5 questions in this view		2008
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20072007
5 questions in this view		2007
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
2008 · Mathematics · Numerical Analysis · Numerical solution of initial value problems for ordinary differential equations
Mathematics (MA) 2008
Consider the initial value problem \(\frac{dy}{dx} = f(x, y), \; y(x_0) = y_0\). The aim is to compute the value of \(y_1 = y(x_0 + h)\), where \(x_0 = x_0 + h \; (h > 0)\). At \(x = x_1\), if the value of \(y_1\) is equated to the corresponding value of the straight line passing through \((x_0, y_0)\) and having the slope equal to the slope of the curve \(y(x)\) at \(x = x_0\), then the method is called
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2
2009 · Mathematics · Numerical Analysis · Numerical differentiation and error, Numerical integration
Mathematics (MA) 2009
For what values of α and β, the quadrature formula ∫–11 f(x) dx = α f(–1) + f(β) is exact for all polynomials of degree ≤ 1?
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3
2010 · Mathematics · Numerical Analysis · Numerical differentiation and error, Numerical integration
Mathematics (MA) 2010
The numerical value obtained by applying the two-point trapezoidal rule to the integral \( \int_{0}^{1} \frac{\ln(1 + x)}{x} dx \) is
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4
2011 · Mathematics · Numerical Analysis · Numerical Solutions of Nonlinear Equations
Mathematics (MA) 2011
While solving the equation \(x^2 - 3x + 1 = 0\) using the Newton-Raphson method with the initial guess of a root as 1, the value of the root after one iteration is
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5
2012 · Mathematics · Numerical Analysis · Numerical differentiation and error, Numerical integration
Mathematics (MA) 2012
Given the data:
\(x\)12345
\(y\)-12-34-5
If the derivative of \(y(x)\) is approximated as: \(y'(x_k)\approx\frac{1}{h}(\Delta y_k+\frac{1}{2}\Delta^2 y_k-\frac{1}{4}\Delta^3 y_k)\), then the value of \(y'(2)\) is
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6
2014 · Mathematics · Numerical Analysis · Numerical Solutions of Nonlinear Equations
Mathematics (MA) 2014
Using the Newton-Raphson method with the initial guess \(x^{(0)} = 6\), the approximate value of the real root of \(x \log_{10} x = 4.77\), after the second iteration, is ______________
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